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Well I really don't get the question but I'll answer it according to my under standing

let say we got this binomial equation in terms of x and y

first the number of terms is the expansion is n+1the first term is and the last term is the exponent of descends linearly from n to 0the exponent of descends linearly from 0 to nthe sum of the exponents of a and b in any of the terms is equal to n,the coefficient of the second term and the second to the last term is n,

so

example:

in this example n = 3

the number of therms is 3 + 1 = 4

so there are 4 terms in this example

see the pattern in which the exponent of x is decreasing from 3 to 0and the pattern in which the exponent of y is increasing from 0 to 3

this is the pattern that I knew in multiplying binomial algebraic expression